data: - - Lhash: '733742163838105574757276740316' a10: - 4.684225109893684 - -8.113315884425768 a2: - -1.110003899047093 - 1.92258314974912 a3: - -0.27477556591051805 - 0.475925240835508 a4: - -1.464217311799498 - -2.536098777358651 a5: - -4.220007798094186 - 0.0 a6: - -0.610003899047093 - -1.0565577459646813 a7: - 0.5 - 0.8660254037844386 a8: - 2.061132104410412 - 0.0 a9: - 1.3489967767571092 - 2.3365309565899635 accuracy: 100 algebraic: true analytic_conductor: 0.7266386583936518 analytic_normalization: __RealLiteral__: 0 data: '0.5' prec: 10 bad_lfactors: - - 7 - - - 1.0 - 0 - - -0.5 - -0.8660254037844386 - - 13 - - - 1.0 - 0 - - 2.959000675804202 - -2.060173536523143 bad_primes: - 7 - 13 central_character: '91.22' coefficient_field: CDF conductor: 91 conductor_radical: 91 conjugate: '5155773014862663694679336783296' degree: 2 euler_factors: - - - 1.0 - 0 - - 1.110003899047093 - -1.92258314974912 - - -1.0 - -1.7320508075688772 - - - 1.0 - 0 - - 0.27477556591051805 - -0.475925240835508 - - -1.5 - -2.598076211353316 - - - 1.0 - 0 - - 4.220007798094186 - 0 - - 5.0 - 0 - - - 1.0 - 0 - - -0.5 - -0.8660254037844386 - - - 1.0 - 0 - - -0.27477556591051805 - 0.475925240835508 - - -5.5 - -9.526279441628825 - - - 1.0 - 0 - - 2.959000675804202 - -2.060173536523143 - - - 1.0 - 0 - - -1.18944174588898 - -2.060173536523143 - - -8.5 - 14.722431864335457 - - - 1.0 - 0 - - -1.805341618115724 - -3.1269434075950433 - - -9.5 - 16.454482671904334 - - - 1.0 - 0 - - 2.909449543983166 - -5.039314432236945 - - -11.5 - -19.91858428704209 - - - 1.0 - 0 - - -1.7994456449360732 - 3.1167312824878244 - - -14.5 - -25.11473670974872 - - - 1.0 - 0 - - 5.148442421693182 - 0 - - 31.0 - 0 - - - 1.0 - 0 - - -0.164771666863425 - 0.28539289865526535 - - -18.5 - -32.04293994002423 - - - 1.0 - 0 - - -3.1457865872475947 - 5.448662198881539 - - -20.5 - -35.50704155516198 - - - 1.0 - 0 - - 1.610003899047093 - 2.7886085535335585 - - -21.5 - 37.239092362730865 - - - 1.0 - 0 - - -8.209574526103594 - 0 - - 47.0 - 0 - - - 1.0 - 0 - - -2.658664719913848 - 0 - - 53.0 - 0 - - - 1.0 - 0 - - -0.9037645445734411 - -1.5653661092805473 - - -29.5 - 51.09549882328188 - - - 1.0 - 0 - - 0.30466228093136904 - 0.5276905497229539 - - -30.5 - 52.827549630850754 - - - 1.0 - 0 - - 5.184904447078039 - -8.980517934728981 - - -33.5 - -58.023702053557386 - - - 1.0 - 0 - - -5.598891289872146 - -9.697564180113403 - - -35.5 - 61.48780366869514 - - - 1.0 - 0 - - -4.906209405249102 - 0 - - 73.0 - 0 - - - 1.0 - 0 - - 14.017103615250477 - 0 - - 79.0 - 0 - - - 1.0 - 0 - - 5.731588770683562 - 0 - - 83.0 - 0 - - - 1.0 - 0 - - -3.73377624171472 - 6.4670901547434685 - - -44.5 - -77.07626093681505 - - - 1.0 - 0 - - -3.420351179388187 - -5.924222022428471 - - -48.5 - 84.00446416709055 - - - 1.0 - 0 - - 2.879562828962315 - -4.987549123349499 - - -50.5 - -87.4685657822283 - - - 1.0 - 0 - - -0.5717763501709298 - 0 - - 103.0 - 0 - - - 1.0 - 0 - - 2.035782688200502 - -3.526079049132419 - - -53.5 - -92.66471820493493 - - - 1.0 - 0 - - -15.308676789745666 - 0 - - 109.0 - 0 - - - 1.0 - 0 - - 6.088458017881554 - 10.545518626720952 - - -56.5 - 97.86087062764156 gamma_factors: - [] - - 0 group: GL2 id: 9596082 index: 0 label: 2-91-13.9-c1-0-0 load_key: CMFs-workshop motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/91/2/f/c/22/1 plot_delta: __RealLiteral__: 0 data: '0.125' prec: 17 plot_values: - 0.354720919656346 - 0.27624881431796255 - 0.20194006110842316 - 0.12799015363263128 - 0.05113563286971158 - -0.03116880636457309 - -0.1206508700921393 - -0.21817292879354896 - -0.32370799256049276 - -0.4363231226249523 - -0.5541677704619282 - -0.6744744082515789 - -0.7935839222144337 - -0.9070097195460797 - -1.0095535916330183 - -1.0954838564597047 - -1.1587825361814015 - -1.1934634649742326 - -1.1939573763166311 - -1.1555533564979144 - -1.0748788555223932 - -0.9503931360135338 - -0.7828621654464292 - -0.575777176330823 - -0.33567516074541326 - -0.07231816983414754 - 0.20130986301289588 - 0.4692244221317417 - 0.7129057402640627 - 0.9120202103023373 - 1.04539231480724 - 1.0922009225208282 - 1.0333514578944367 - 0.8529529776529748 - 0.53980854956893 - 0.08881069654479096 - -0.4978767412211231 - -1.2099711145638241 - -2.028670859315662 - -2.9267970966163324 - -3.8695414965159936 - -4.815845009091236 - -5.720383930598864 - -6.536086577421134 - -7.217049712808219 - -7.721673686788193 - -8.015794264493099 - -8.075562494827386 - -7.8898162338042095 - -7.461701404522479 - -6.809339335068112 - -5.965397993684043 - -4.975506646055111 - -3.8955499471574826 - -2.7879810780258243 - -1.7173948540748587 - -0.7456904247770915 - 0.07278104985108705 - 0.6956546680806166 - 1.0961521440259587 - 1.2654680258016808 - 1.213654928144172 - 0.9688468375467664 - 0.5748122064708608 - 0.08699423371110969 - -0.4326421605367121 - -0.921496486829884 - -1.3223897964886486 - -1.5891817963654724 - -1.6913512734481602 - -1.6170239231355816 - -1.3740750699285098 - -0.9891291518837393 - -0.5045045328539718 - 0.02661294956062254 - 0.5462685069968288 - 0.9984402645936796 - 1.3355762339606965 - 1.5241857684454088 - 1.5487871789367293 - 1.4136864622056136 - 1.1423107454861634 - 0.7741175838881172 - 0.35941274636746634 - -0.047304895890035954 - -0.3946315401842301 - -0.6412170955467712 - -0.761430645162607 - -0.7488983248960509 - -0.617330412472566 - -0.3984018690941419 - -0.13685329362649132 - 0.11661465557634272 - 0.3137273601133609 - 0.41713064685805756 - 0.4077247399916208 - 0.28964732986807123 - 0.0919709451949036 - -0.13340996387130044 - -0.317708672459612 - -0.38443891616464093 - -0.26079250640522755 - 0.11028678247488279 - 0.7590493533951137 - 1.6806196212705429 - 2.8308722591828634 - 4.127484998531973 - 5.456485701270972 - 6.6838512353979525 - 7.670960482428914 - 8.292063478570897 - 8.451504601909637 - 8.09830704975006 - 7.235928347050727 - 5.925525921390518 - 4.281872996090021 - 2.4620395403285578 - 0.6479700426787343 - -0.9749959744258662 - -2.240942762164752 - -3.0245003974750477 - -3.2573354013793403 - -2.9376030091142127 - -2.1308517762190236 - -0.962023706630783 - 0.40055854745208963 - 1.7671628077612138 - 2.9516210569648713 - 3.7958552307381423 - 4.190504936586669 - 4.088718317966286 - 3.5111277418598084 - 2.5413076350729984 - 1.3124150733560414 - -0.012968986384025034 - -1.2667552623270926 - -2.2994100520430774 - -3.000549501948176 - -3.3130037097790623 - -3.2383337696244543 - -2.8331528083738826 - -2.197075616726019 - -1.454459924149315 - -0.7330826979593726 - -0.14334995860006303 - 0.23851271113112432 - 0.3805785735047317 - 0.2971366895226564 - 0.04235532734835896 - -0.3028976983588231 - -0.6484598460642553 - -0.9131524618220908 - -1.0404602535326846 - -1.008658755977372 - -0.8335116570703279 - -0.5630980006508002 - -0.2658672731583837 - -0.014368939357758091 - 0.13199974613570747 - 0.1416221699926933 - 0.019504635969868445 - -0.19174563575287978 - -0.4193487993078835 - -0.5750251564974352 - -0.5742074128803203 - -0.35601610181517107 - 0.10014434526173373 - 0.7650661316611466 - 1.5597829774984313 - 2.365892627421961 - 3.0448509738219522 - 3.4630525329626227 - 3.5181506703616847 - 3.1615243596029434 - 2.4122199058896894 - 1.3590585864340439 - 0.14969187701382586 - -1.032161599213182 - -1.9977060625263803 - -2.586895569261712 - -2.698847780791862 - -2.3128900147633096 - -1.4957396833373633 - -0.39271874035752863 - 0.796173219008555 - 1.851586230199048 - 2.5754597861112987 - 2.8295876923902337 - 2.5647656273181405 - 1.834621026501493 - 0.7908484100898353 - -0.34007369204498994 - -1.295136501228924 - -1.8215454346127886 - -1.723660814994776 - -0.9015278303099222 - 0.626314424011726 - 2.7203478027474612 - 5.138876360182696 - 7.575173116403322 - 9.706603688072246 - 11.247069775232182 - 11.99342372787959 - 11.85756606204189 - 10.878568136774232 - 9.21287037460346 - 7.104683287260602 - 4.842375222928127 - 2.709154682422055 - 0.9372538908950049 - -0.32607667260118967 - -1.0349573827057312 - -1.2414460105931373 - -1.074035710824668 - -0.7033537425943939 - -0.3026887590044994 - -0.011706965804193344 - 0.08930402936078832 - -0.010141200556543007 - -0.2569539405484689 - -0.5549931241943665 - -0.7944529399871559 - -0.8828875735625747 - -0.7704950636755743 - -0.4638009010248267 - -0.024714144984957477 - 0.4445746454578792 - 0.8270241628007556 - 1.0202216558912902 - 0.962659918139471 - 0.6503050080189694 - 0.13924691706710055 - -0.46644360054340733 - -1.038939095262335 - -1.4572473775889603 - -1.6367755541306 - -1.550538446250034 - -1.2365327465825244 - -0.7890359474028271 - -0.3354801096091421 - -0.004179070728028299 - 0.10933238861271495 - -0.031097025850724148 - -0.3897810810954632 - -0.8648338548669976 - -1.311561981717511 - -1.5788442648031926 - -1.550209942150114 - -1.1796077058939962 - -0.5124524903832086 - 0.31456420594340184 - 1.0967671803248797 - 1.6043601784608092 - 1.6363979922912686 - 1.0741341972236322 - -0.07875122857171347 - -1.6794696435946266 positive_zeros: - '0.57882050756415191752513853396335' - '3.15821707461235387314895124711889' - '4.39589751016946934774997453765936' - '7.11264264174337572247168364437361' - '8.021045934767887545835457071774564' - '9.243786384027996485873986681032727' - '10.48478029384537397027395553832994' - '11.44040697046566554777701428811006' - '12.17586700928181408089458016102773' - '12.72098732622981601294405891411620' prelabel: 2-91-13.9-c1-0 primitive: true rational: false root_analytic_conductor: 0.8524310285258578 root_angle: 0.8917789232628712 root_number: -0.9427591542989431 + 0.3334744022943015*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.445889461631' prec: 47 spectral_label: c1-0 types: - CMF z1: __RealLiteral__: 0 data: '0.57882050756415191752513853396' prec: 103 z2: __RealLiteral__: 0 data: '3.15821707461235387314895124712' prec: 103 z3: __RealLiteral__: 0 data: '4.39589751016946934774997453766' prec: 103 - - algebraic: true analytic_conductor: 0.7266386583936518 bad_primes: - 7 - 13 central_character: '13.9' conductor: 91 conductor_radical: 91 degree: 2 id: 9596082 index: 0 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/91/2/f/c/22/1 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: true is_instance_DIR: false is_instance_ECNF: false is_instance_ECQ: false is_instance_G2Q: false is_instance_HMF: false is_instance_MaassGL3: false is_instance_MaassGL4: false is_instance_MaassGSp4: false is_instance_NF: false label: 2-91-13.9-c1-0-0 motivic_weight: 1 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 1 order_of_vanishing: 0 prelabel: 2-91-13.9-c1-0 primitive: true rational: false root_analytic_conductor: 0.8524310285258578 root_angle: 0.4458894616314356 self_dual: false spectral_label: c1-0 z1: __RealLiteral__: 0 data: '0.57882050756415191752513853396' prec: 103 - - Lhash: '733742163838105574757276740316' Lhash_array: - '733742163838105574757276740316' id: 9962107 label: 2-91-13.9-c1-0-0 type: CMF url: ModularForm/GL2/Q/holomorphic/91/2/f/c/22/1 label_cols: - label - label - label labels: - 2-91-13.9-c1-0-0 - 2-91-13.9-c1-0-0 - 2-91-13.9-c1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T06:23:36.142029'